# Interest rate differences over the time period

Last time I showed a graph and calculations of how a doubling of a bet for every cricket wicket or golf hole can make you a millionaire many times over if you allowed to take the bet over a large number of wickets.

The bigger part however is that the real advantage comes as you take the period over a longer term.

This time I will show you how the value of the bet can change the value of your earnings.  As I have repeated many times in my blogs earlier also, the value of money you end up with is has low co-relation to the amount you start with but rather with the duration and the rate of interest.

So this time also we will start with only one dollar to start with and show you how the value of the amount you get depends at the rate at which you grow your bet.  We will consider 8%, 15%, 17% and 24%.  There is a reason for choosing these rates.

Typically a long term bank deposit in India can get you about 8%.  Its almost guaranteed to not fail. So you don’t have to take any risk to get this kind of return.

15% -17% is the average return that the Indian stock market has returned on average.  24% is the kind of lowest return the investing gurus  have been able to generate from the stock market.

 Wicket in cricket / hole in golf Rate of interest 8% Rate of interest 15% Rate of interest 17% Rate of interest 24% 1 1.08 1.15 1.17 1.24 2 1.1664 1.3225 1.3689 1.5376 3 1.259712 1.520875 1.601613 1.906624 4 1.36048896 1.74900625 1.87388721 2.36421376 5 1.469328077 2.011357188 2.192448036 2.931625062 6 1.586874323 2.313060766 2.565164202 3.635215077 7 1.713824269 2.66001988 3.001242116 4.507666696 8 1.85093021 3.059022863 3.511453276 5.589506703 9 1.999004627 3.517876292 4.108400333 6.930988312 10 2.158924997 4.045557736 4.806828389 8.594425506 11 2.331638997 4.652391396 5.623989215 10.65708763 12 2.518170117 5.350250105 6.580067382 13.21478866 13 2.719623726 6.152787621 7.698678837 16.38633794 14 2.937193624 7.075705764 9.007454239 20.31905904 15 3.172169114 8.137061629 10.53872146 25.19563321 16 3.425942643 9.357620874 12.33030411 31.24258518 17 3.700018055 10.761264 14.42645581 38.74080563 18 3.996019499 12.37545361 16.87895329 48.03859898 19 4.315701059 14.23177165 19.74837535 59.56786273 20 4.660957144 16.36653739 23.10559916 73.86414979 21 5.033833715 18.821518 27.03355102 91.59154574 22 5.436540413 21.6447457 31.6292547 113.5735167 23 5.871463646 24.89145756 37.00622799 140.8311607 24 6.341180737 28.62517619 43.29728675 174.6306393 25 6.848475196 32.91895262 50.6578255 216.5419927 26 7.396353212 37.85679551 59.26965584 268.512071 27 7.988061469 43.53531484 69.34549733 332.954968 28 8.627106386 50.06561207 81.13423187 412.8641603 29 9.317274897 57.57545388 94.92705129 511.9515588 30 10.06265689 66.21177196 111.06465 634.8199329

If you see the difference between the 8% and 24% rate of interest is 3 times.  However the outcome is 63 times different over 30 units.  If you were to look at an even larger period like say 50 units the difference will come out to be 1000 times.

The human brain is not able to comprehend this major magic of compounding when trying to compute mentally.

Now look at the columns which are with showing you 15% and 17% interest rates.  While the difference is only 2% if you see the outcome after 30 holes at 17% you have earned double then at 15%.  If you were to extend this to 50 holes then the amount at 15% would be 1083 while at 17% it would be 2566. A difference of 2.5 times.  Why am I showing you this.  If you pay 2% commission to someone to manage your investment then you lose that kind of money.

The people like Warren Buffet or Raamdeo Aggarwal or Mohnish Pabrai have become so exorbitantly rich because they manage their own money and manage it a higher rate of interest for a longer period of time.

However even if you think you cannot manage on your own, its better to get some reputed ETF so that the cost of managing is very low.  Only in cases of some high growth markets look for managers to manage specialised funds.

Another thing you will notice from the table – till about the 4th unit all the values were not very far apart. But see how the 24% chart suddenly breaks into another orbit after the 10th unit and the gap widens so dramatically.

The biggest lesson in this post and the earlier one is however that you need to start at the earliest, with whatever you have and let it compound over a long period of time.

For those of you who are more visually inclined, you can have a look at the chart below

Till next time choose the right interest and keep it for a long long time

Carpe Diem!!!